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Mackenzie has the following data: $\newline$ $s, 11, 9, 20, 9$ $\newline$ If the mean is $13$ , which number could $s$ be? $\newline$ Choices: $\newline$ $(A)$ $16$ $\newline$ $(B)$ $26$

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Mean, median, mode, and range: find the missing number

Full solution

Q. Mackenzie has the following data:

\newline

s, 11, 9, 20, 9

\newline

If the mean is

13

, which number could

s

be?

\newline

Choices:

\newline

(A)

16

\newline

(B)

26

Calculate total number of terms: Calculate the total number of terms in the data set. $\newline$ Data set: $s$ , $11$ , $9$ , $20$ , $9$ $\newline$ Number of terms: $5$
Set up mean equation: Set up the equation using the mean formula. $\newline$ Mean formula: $\text{Mean} = \frac{\text{sum of all terms}}{\text{number of terms}}$ $\newline$ Given mean $= 13$ $\newline$ $13 = \frac{s + 11 + 9 + 20 + 9}{5}$
Simplify and solve for $s$ : Simplify and solve for $s$ . $13 = \frac{s + 49}{5}$ $13 \times 5 = s + 49$ $65 = s + 49$ $s = 65 - 49$ $s = 16$

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